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Finding the Fourth Proportional to 368.74, 553.22 and 214.64

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Solution

The fourth proportional to 368.74, 553.22 and 214.64 is: 322.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.74 : 553.22 = 214.64 : x
  2. Step 2: Convert to fraction form
    368.74/553.22 = 214.64/x
  3. Step 3: Cross multiply
    368.74x = 553.22 × 214.64
  4. Step 4: Simplify right side
    368.74x = 118,743.14
  5. Step 5: Solve for x
    x = 118,743.14/368.74
  6. Step 6: Final answer
    x = 322.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.